i. An outlier is a value in a data set that is inconsistent with the rest of the data. ii. The interquartile range is the difference between the values of the first and third quartile, indicating the range of the middle fifty percent of the observations.
iii. A student scored in the 85 percentile on a standardized test. This means that the student scored lower than 85% of the rest of the students taking the test.
A) (i), (ii) and (iii) are all correct statements
B) (i) and, (ii) are correct statements but not (iii).
C) (i) and, (iii) are correct statements but not (ii).
D) (i) is a correct statement, but not (ii) or (iii).
E) (i), (ii) and (iii) are all false statements.

Question

Quizplus · Accepted Answer

The first statement correctly defines an outlier as a data point that is significantly different from the rest of the data. The second statement accurately describes the interquartile range (IQR) as the difference between the third quartile (Q3) and the first quartile (Q1), which indeed represents the middle 50% of the data. The third statement is incorrect because scoring in the 85th percentile means the student scored better than 85% of the other students, not lower.

I an Outlier Is a Value in a Data Set